Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.PartialMap.comp.congr_simp
∀ {X Y Z : AlgebraicGeometry.Scheme} [inst : PreirreducibleSpace ↥X] [inst_1 : Nonempty ↥Y] (f f_1 : X.PartialMap Y)
(e_f : f = f_1) [inst_2 : AlgebraicGeometry.IsDominant f.hom] (g g_1 : Y.PartialMap Z),
g = g_1 → f.comp g = f_1.comp g_1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
- AlgebraicGeometry.Scheme.Opens.toSchemestatement · cited by 433
- AlgebraicGeometry.Scheme.PartialMapstatement and proof · cited by 76
- AlgebraicGeometry.Scheme.PartialMap.domainstatement · cited by 60
- AlgebraicGeometry.Scheme.PartialMap.homstatement and proof · cited by 49
- AlgebraicGeometry.IsDominantstatement and proof · cited by 43
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